AP Precalculus Quiz
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FUNCTIONS INVOLVING PARAMETERS, VECTORS, AND MATRICES
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Refer to the coordinate-plane diagram: a sailboat's intended displacement is a⃗=⟨5,1,0⟩=5i+1j+0k\vec{a}=\langle 5,1,0\rangle=5\mathbf{i}+1\mathbf{j}+0\mathbf{k} km and wind drift is b⃗=⟨−2,3,0⟩=−2i+3j+0k\vec{b}=\langle -2,3,0\rangle=-2\mathbf{i}+3\mathbf{j}+0\mathbf{k} km. Vectors have magnitude and direction; the actual displacement is a⃗+b⃗\vec{a}+\vec{b}. Refer to the vectors described in the passage. What is the resultant vector when a⃗\vec{a} and b⃗\vec{b} are added?
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